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NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 42
Total: 52
If z1 = - i , z2 = + i , find |
z1+z2+1
z1−z2+1
|
Solution:  
We have, z1 = 2 – i, z2 = 1 + i, z1+z2 + 1 = (2 – i) + (1 + i) + 1 = 4 + 0i and z1–z2 + 1 = (2 – i) – (1 + i) + 1 = 2 – 2i
∴ |
z1+z2+1
z1−z2+1
| =
|z1+z2+1|
|z1−z2+1|
 =
|4|
√4+4
 =
4
2√2
 = √2
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